1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nirvana33 [79]
3 years ago
15

Line M passes through point (3,1) and is perpendicular to the line of the equation y=3x+4. Which equation describes the graph of

M?
A) y=-3x+16
B) y=-1/3x+2
C)y=-1/3x+4
D)y=1/3x+6
Mathematics
1 answer:
zheka24 [161]3 years ago
8 0

Answer:

y = -1/3x + 2

Step-by-step explanation:

The gradient of the given line is 3 because (y = mx +c where m is the gradient)

Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.

The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.

Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.

To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.

So it would be 1 = (-1/3 x 3) +c

Which would be 1 = -1 +c

And so c = 2

Put everything together and you get y = -1/3x + 2

You might be interested in
A motorboat maintained a constant speed of 15 miles per hour related to water going 44 miles upstream then returning the total t
yanalaym [24]

The speed of the current is 13 mph

<h3>What is speed?</h3>

speed refers to distance travelled per unit time. This is a vector quantity this implies that it has magnitude and direction.

The unit for speed as used here is miles per hour and can be written in short form as mph

<u>Given data</u>

speed of boat = 15 miles per hour = 15 mph

distance = 44 miles upstream

total time for the trip = 7.5 hours

<h3>solving for the speed of the current</h3>

let the water current be x

speed = distance / time

the total travel time upstream and downstream is known

for upstream

15 - x = 44 / time

time = 44 / 15 - x

for downstream

15 + x = 44 / time

time = 44 / 15 + x

total time = time for upstream + time for downstream = 7.5

7.5 = (44 / 15 - x ) + ( 44 / 15 + x )

7.5 = ( 44 ( 15 + x ) + 44 ( 15 - x ) ) / ( 15 + x  )( 15 - x )

7.5 ( 15 + x  )( 15 - x ) = 210 +44x + 210 - 44x

7.5 ( 225 - x ^ 2 ) = 420

( 225 - x ^ 2 ) = 56

169 = x ^ 2

x = sqrt ( 169 )

x = 13 miles per hour

hence speed of current is 13 miles per hour

Read more on speed here: brainly.com/question/4931057

#SPJ1

3 0
1 year ago
What is 9 divided by 7488? Thank you if you help! :)
Gennadij [26K]
0.0012019231 but if you want to round then its just 0.0012 
4 0
2 years ago
Read 2 more answers
Please help need urgent
aleksandr82 [10.1K]

Convert the cm to feet for the base and the height:

12/2 = 6 x 3 = 18 feet

9/2 = 4.5 x 3 = 13.5 feet


area = 1/2 x base x height

Area = 1/2 x 18 x 13.5

Area = 121.5 square feet


answer: 121.5 square feet

3 0
2 years ago
Giá trị x thoả mãn x(x − 3) + x − 3 =0 là
svet-max [94.6K]

Here we will use the trial and error method.

  • We will try putting different values of x.
<h3 /><h3>1st of all</h3><h3>x=1</h3>

\begin{gathered}\\ \sf\longmapsto 1(1-3)+1-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto (-2)+1-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -2+1-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -2-2=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -4≠0\end{gathered}

<h2>Now,</h2><h3>x=2</h3>

\begin{gathered}\\ \sf\longmapsto 2(2-3)+2-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 2(-1)+2-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -2+2-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -3≠0\end{gathered}

<h2>Again,</h2><h3>x=3</h3>

\begin{gathered}\\ \sf\longmapsto 3(3-3)+3-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 3(3-3)=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 3×0=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 0=0\end{gathered}

<h3>☣Hence, The value of X as 3 satisfies the equation!</h3>
5 0
2 years ago
"The output is one-fourth of the input."
Alenkasestr [34]

Step-by-step explanation:

Using functions, the input is x, the output is y.

<u>Break down the problem:</u>

The output (y) is (equals) one-fourth (1/4) of the input (x)

y equals 1/4 of x

y =  \frac{1}{4} x

3 0
2 years ago
Other questions:
  • Ully is having a party and wants to fill his swimming pool. if he only uses his hose it takes 2 hours more than if he only uses
    5·1 answer
  • Help quickly please thank you
    10·2 answers
  • Help me ASAP please, I really want to finish this
    14·2 answers
  • ( x - 10) + (3x - 6)=
    15·2 answers
  • Vhat is the volume of the right rectangular prism?<br> Will mark brainliest
    10·1 answer
  • In a group of 32 pet owners, half are women and 20 are dog owners. If 8 women are not dog owners, how many of the dog owners are
    6·1 answer
  • Plz I need help Plz I need help Plz I need help Plz I need help Plz I need help!!!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • Mia earned $6 by selling 2 cups of lemonade how much money will mia earn after selling 4 cups ​
    7·2 answers
  • One more !!!!! Plzzz
    5·2 answers
  • What is this please help me!!!! <br> X+3x=9️‍
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!